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Finding the Fourth Proportional to 547.56, 820.26 and 502.20

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Solution

The fourth proportional to 547.56, 820.26 and 502.20 is: 752.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.56 : 820.26 = 502.20 : x
  2. Step 2: Convert to fraction form
    547.56/820.26 = 502.20/x
  3. Step 3: Cross multiply
    547.56x = 820.26 × 502.20
  4. Step 4: Simplify right side
    547.56x = 411,934.57
  5. Step 5: Solve for x
    x = 411,934.57/547.56
  6. Step 6: Final answer
    x = 752.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.